22553210880 has 312 divisors, whose sum is σ = 80312034192. Its totient is φ = 5849874432.

The previous prime is 22553210879. The next prime is 22553210899. The reversal of 22553210880 is 8801235522.

22553210880 is a `hidden beast` number, since 2 + 2 + 553 + 21 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6818187 + ... + 6821493.

It is an arithmetic number, because the mean of its divisors is an integer number (257410366).

Almost surely, 2^22553210880 is an apocalyptic number.

22553210880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22553210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40156017096).

22553210880 is an abundant number, since it is smaller than the sum of its proper divisors (57758823312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22553210880 is a wasteful number, since it uses less digits than its factorization.

22553210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 22553210880 in words is "twenty-two billion, five hundred fifty-three million, two hundred ten thousand, eight hundred eighty".